16888023126016 has 117 divisors (see below), whose sum is σ = 39289989800361. Its totient is φ = 7236935172096.

The previous prime is 16888023126001. The next prime is 16888023126031. The reversal of 16888023126016 is 61062132088861.

It is a happy number.

The square root of 16888023126016 is 4109504.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (16888023126001) and next prime (16888023126031).

It can be written as a sum of positive squares in only one way, i.e., 442597478400 + 16445425647616 = 665280^2 + 4055296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1841053206 + ... + 1841062378.

Almost surely, 2^{16888023126016} is an apocalyptic number.

16888023126016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16888023126016 is the 4109504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16888023126016

16888023126016 is an abundant number, since it is smaller than the sum of its proper divisors (22401966674345).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16888023126016 is an frugal number, since it uses more digits than its factorization.

16888023126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18384 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The spelling of 16888023126016 in words is "sixteen trillion, eight hundred eighty-eight billion, twenty-three million, one hundred twenty-six thousand, sixteen".